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Monopoles and their spectral data

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Abstract

A new definition of spectral data of a monopole is given for any compact Lie or Kac-Moody group. It is shown that the spectral data determines the irreducible monopole. In the case of maximal symmetry breaking the spectral data is shown to reduce to an earlier definition in terms of algebraic curves indexed by the nodes of the Dynkin diagram of the group. The structure of solutions to Nahm's equations corresponding to the monopole is discussed.

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Communicated by A. Jaffe

Research supported in part by NSER C grant A8361 and FCAR grant EQ3518

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Hurtubise, J., Murray, M.K. Monopoles and their spectral data. Commun.Math. Phys. 133, 487–508 (1990). https://doi.org/10.1007/BF02097006

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